Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368cs |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1644724224 = 215 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1356,-19120] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:8:1] [44:80:1] |
Generators of the group modulo torsion |
j |
311665752/1859 |
j-invariant |
L |
9.429839249458 |
L(r)(E,1)/r! |
Ω |
0.78702884412265 |
Real period |
R |
2.9953918842326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368dc2 41184f2 82368db2 |
Quadratic twists by: -4 8 -3 |